To solve the problem:

The given polynomials to add are: $(2x^2 + 4x + 3) + (3x^2 - 2x + 3)$

Step 1: Combine like terms

1. Combine the $x^2$ terms: $2x^2 + 3x^2 = 5x^2$

2. Combine the $x$ terms: $4x - 2x = 2x$

3. Combine the constant terms: $3 + 3 = 6$

Step 2: Write the resulting polynomial

The result of adding the two polynomials is: $5x^2 + 2x + 6$

Final Answer:

The correct choice is A: $5x^2 + 2x + 6$.

Would you like further explanation on combining polynomials?

Here are 5 related questions:

1. How do you subtract two polynomials?
2. What happens if a polynomial has missing terms (e.g., no $x$-term)?
3. Can you multiply polynomials? What are the rules?
4. What are the degrees of the terms in the resulting polynomial?
5. How can this be visualized on a graph?

Tip: Always align like terms when adding or subtracting polynomials for clarity.